Improved Statistics for F-theory Standard Models

Bies, Martin; Cvetič, Mirjam; Donagi, Ron; Ong, Marielle

doi:10.1007/s00220-024-05148-7

Title: Improved Statistics for F-theory Standard Models

Journal Article · 12 November 2024 · Communications in Mathematical Physics

DOI: https://doi.org/10.1007/s00220-024-05148-7 · OSTI ID:2480413

^[1]; Cvetič, Mirjam ^[2]; Donagi, Ron ^[3]; Ong, Marielle ^[3]

RPTU Kaiserlautern-Landau (Germany)
University of Pennsylvania, Philadelphia, PA (United States); University of Maribor (Slovenia)
University of Pennsylvania, Philadelphia, PA (United States)

Much of the analysis of F-theory-based Standard Models boils down to computing cohomologies of line bundles on matter curves. By varying parameters one can degenerate such matter curves to singular ones, typically with many nodes, where the computation is combinatorial and straightforward. The question remains to relate the (a priori possibly smaller) value on the original curve to the singular one. In this work, we introduce some elementary techniques (pruning trees and removing interior edges) for simplifying the resulting nodal curves to a small collection of terminal ones that can be handled directly. When applied to the QSMs, these techniques yield optimal results in the sense that obtaining more precise answers would require currently unavailable information about the QSM geometries. This provides us with an opportunity to enhance the statistical bounds established in earlier research regarding the absence of vector-like exotics on the quark-doublet curve.

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Research Organization:: University of Pennsylvania, Philadelphia, PA (United States)

Sponsoring Organization:: National Science Foundation (NSF); Simons Foundation Collaboration; USDOE

Grant/Contract Number:: SC0013528

OSTI ID:: 2480413

Journal Information:: Communications in Mathematical Physics, Journal Name: Communications in Mathematical Physics Journal Issue: 12 Vol. 405; ISSN 1432-0916; ISSN 0010-3616

Publisher:: Springer Science and Business Media LLCCopyright Statement

Country of Publication:: United States

Language:: English

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